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Finding the Third Proportional to 2,421,999 and 5,709,330

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Solution

The third proportional to 2,421,999 and 5,709,330 is: 13,458,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,999 : 5,709,330 = 5,709,330 : x
  2. Step 2: Convert to fraction form
    2,421,999/5,709,330 = 5,709,330/x
  3. Step 3: Cross multiply
    2,421,999x = 5,709,330 × 5,709,330
  4. Step 4: Simplify right side
    2,421,999x = 32,596,449,048,900
  5. Step 5: Solve for x
    x = 32,596,449,048,900/2,421,999
  6. Step 6: Final answer
    x = 13,458,489.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.